4 years ago

Two angles that have the same initial and terminal sides are

Mathematics

1 answer:

geniusboy [140]4 years ago

3 0

The exact same angle

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Which expression is equivalent to (5-2i)^2-i^3 where i^2=-1?

mr_godi [17]

$\text{use:}\\(a-b)^2=a^2-2ab+b^2\\\\(5-2i)^2=5^2-2\cdot5\cdot2i+(2i)^2=25-20i+2^2i^2\\\\=25-20i+4(-1)=25-20i-4=21-20i\\\\i^3=i^2\cdot i=(-1)i=-i$

$(5-2i)^2-i^3=21-20i-(-i)=21-20i+i=21-19i$

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4 years ago

Given an equilateral triangle with two vertices located at (-8, -5) and (3, 7), what is its perimeter?

Oduvanchick [21]

An equilateral triangle has 3 sides of equal length
find the length of 1 side and that is the length of te other 2 sides
so find the length and times 3

we need to find the distance betwen the points (-8,-5) and (3,7)

distance between the points (x1,y1) and (x2,y2) is
$D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$
so
distance between (-8,-5) and (3,7) is
$D=\sqrt{(-8-3)^2+(-5-7)^2}$
$D=\sqrt{(-11)^2+(-12)^2}$
$D=\sqrt{121+144}$
$D=\sqrt{265}$

the distance is √265
the perimiter is 3√265 units

7 0

3 years ago

What is the equation, of the perpendicular to y= 1/8x + 2, , passing through the point (1,-5)?

BARSIC [14]

Answer:

yes passing is the best thing to do so you can get a job

Step-by-step explanation:

7 0

3 years ago

<img src="https://tex.z-dn.net/?f=x%20%20%5C%3A%20%20%5C%3A%20is%20%5C%3A%20half%20%5C%3A%20of%20%5C%3A%20y" id="TexFormula1" ti

777dan777 [17]

Answer:

2x=y

Step-by-step explanation:

Since x is half of y, 2x=y

Hope this helps :D

8 0

3 years ago

Read 2 more answers

Plsssssss help me pls pls pls

nalin [4]

Answer:

92.5%

Step-by-step explanation:

shaded squares/total squares = 185/200

simplify:

(185/5)/(200/5) = 37/40

37/40= 35/40 + 2/40

32/40 + 5/40 = 4/5 + 1/8

4/5 + 1/8 = 0.8 + 0.125

0.8 + 0.125 = 80% + 12.5%

80% + 12.5% = 92.5%

3 0

3 years ago